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Finding the Fourth Proportional to 427,823.11, 590,402.88 and 234,227.56

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Solution

The fourth proportional to 427,823.11, 590,402.88 and 234,227.56 is: 323,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,823.11 : 590,402.88 = 234,227.56 : x
  2. Step 2: Convert to fraction form
    427,823.11/590,402.88 = 234,227.56/x
  3. Step 3: Cross multiply
    427,823.11x = 590,402.88 × 234,227.56
  4. Step 4: Simplify right side
    427,823.11x = 138,288,625,999.37
  5. Step 5: Solve for x
    x = 138,288,625,999.37/427,823.11
  6. Step 6: Final answer
    x = 323,237.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.